{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Process Discovery\n",
    "*by: Sebastiaan J. van Zelst*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since we have studied basic conceptual knowledge of process mining and event data munging and crunching, we focus on process discovery.\n",
    "Here, the goal is to discover, i.e., primarily completely automated and algorithmically, a process model that accurately describes the process, i.e., as observed in the event data.\n",
    "For example, given the running example event data, we aim to discover the process model that we have used to explain the running example's process behavior.\n",
    "For example, when using the [sample event log](data/running_example.csv) we have seen before, we aim to discover:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Running example BPMN-based process model describing the behavior of the simple process that we use in this tutorial](img/bpmn_running_example.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This section briefly explains what modeling formalisms exist in PM4Py while applying different process discovery algorithms.\n",
    "Secondly, we give an overview of the implemented process discovery algorithms, their output type(s), and how we can invoke them.\n",
    "Finally, we discuss the challenges of applying process discovery in practice.\n",
    "Note that, we will not explain the internal workings of the algorithms presented here.\n",
    "For more information regarding the algorithmic details, consider the [Coursera MOOC](https://www.coursera.org/learn/process-mining), the papers/articles/web pages we refer to in the notebook, or, contact us for in-depth algorithmic training :-)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Obtaining a Process Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are three different process modeling notations that are currently supported in PM4Py.\n",
    "These notations are: [BPMN](https://www.bpmn.org/), i.e., models such as the ones shown earlier in this tutorial, *Process Trees* and *Petri nets*.\n",
    "A Petri net is a more mathematical modeling representation compared to BPMN.\n",
    "Often, the behavior of a Petri net is more difficult to comprehend compared to BPMN models.\n",
    "However, due to their mathematical nature, Petri nets are typically less ambiguous (i.e., confusion about their described behavior is not possible).\n",
    "Process Trees represent a strict subset of Petri nets and describe process behavior in a hierarchical manner.\n",
    "In this tutorial, we will focus primarily on BPMN models and process trees.\n",
    "For more information about Petri nets and their application to (business) process modeling (from a ‘workflow’ perspective), we refer to [this article](https://www.researchgate.net/profile/Wil_Aalst/publication/220337578_The_Application_of_Petri_Nets_to_Workflow_Management/links/0deec517a563a45197000000/The-Application-of-Petri-Nets-to-Workflow-Management.pdf?_sg%5B0%5D=2TrqDbNsoZEr67XgOwI_9qxtlO_S1HJFHn8edW7aE0fMWzmsY0D1GhrsbRXdtZhTLvQ1KcSm9pkLzooDMl-eRg.DhnNamQg4EvK8MAwucwkB1VDke7eNq0E4jxMAa2IMXXZtvr9k1PPiwZpQEt1Z2iqkdkN-SOlWyjFloP-BivLow&_sg%5B1%5D=XeHToX2_7feAtM6yO395-HEYttSzdWJeiLaGlD_7Dn3hRXYnVXya0-dHm5RWmjX22gF3ton7d7FSzF6FjL_NYZCQzRvJuPg4zPWnk_HCe0xj.DhnNamQg4EvK8MAwucwkB1VDke7eNq0E4jxMAa2IMXXZtvr9k1PPiwZpQEt1Z2iqkdkN-SOlWyjFloP-BivLow&_iepl=).\n",
    "\n",
    "Interestingly, none of the algorithms implemented in PM4Py directly discovers a BPMN model.\n",
    "However, any process tree can easily be translated to a BPMN model.\n",
    "Since we have already discussed the basic operators of BPMN models, we will start with the discovery of a process tree, which we convert to a BPMN model.\n",
    "Later, we will study the ‘underlying’ process tree.\n",
    "The algorithm that we are going to use is the ‘Inductive Miner’;\n",
    "More details about the (inner workings of the) algorithm can be found in [this presentation](http://www.processmining.org/_media/presentations/2013/petri_nets.pptx) and in [this article](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.396.197&rep=rep1&type=pdf).\n",
    "Consider the following code snippet showing how to obtain a BPMN model from an event log."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import pm4py\n",
    "df = pm4py.format_dataframe(pd.read_csv('data/running_example.csv', sep=';'), case_id='case_id',activity_key='activity',\n",
    "                             timestamp_key='timestamp')\n",
    "bpmn_model = pm4py.discover_bpmn_inductive(df)\n",
    "pm4py.view_bpmn(bpmn_model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observe that the process model that we discovered, describes the same behavior as the model that we have shown above."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As indicated, the algorithm used in this example actually discovers a *Process Tree*.\n",
    "Such a process tree is, mathematically speaking, a *rooted tree*, annotated with ‘control-flow’ information.\n",
    "We’ll first use the following code snippet to discover a process tree based on the running example, and, afterwards shortly analyze the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "process_tree = pm4py.discover_process_tree_inductive(df)\n",
    "pm4py.view_process_tree(process_tree)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll analyze the process tree model from top to bottom.\n",
    "The first circle, i.e., the ‘root’ of the process tree, describes a ‘->’ symbol.\n",
    "This means that, when srolling further down, the process described by the model executes the ‘children’ of the root from left to right.\n",
    "Hence, first “register request” is executed, followed by the circle node with the ‘\\*’ symbol, finally to be followed by the node with the ‘X’ symbol.\n",
    "The node with the ‘\\*’ represents ‘repeated behavior’, i.e., the possibility to repeat the behavior.\n",
    "When scrolling further down, the left-most ‘subtree’ of the ‘\\*’-operator is always executed, the right-most child (in this case, “reinitiate request”) triggers a repeated execution of the left-most child.\n",
    "Observe that this is in line with the process models we have seen before, i.e., the “reinitiate request” activity allows us to repeat the behavior regarding examinations and checking the ticket.\n",
    "When we go further down below in the subtree of the ‘\\*’-operator, we again observe a ‘->’ node.\n",
    "Hence, its left-most child is executed first, followed by its right-most child (“decide”).\n",
    "The left-most child of the ‘->’ node has a ‘+’ symbol.\n",
    "This represents concurrent behavior; hence, its children can be executed simultaneously or in any order.\n",
    "Its left-most child is the “check ticket” activity.\n",
    "Its right-most child is a node with an ‘X’ symbol (just like the right-most child of the tree's root).\n",
    "This represents an exclusive choice, i.e., one of the children is executed (either “examine casually” or “examine thoroughly”).\n",
    "Observe that the process tree describes the exact same behavior as the BPMN models shown before."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are different ways to obtain a petri net:\n",
    "- Let the algorithm directly return a Petri net.\n",
    "- Convert the obtained process tree to a Petri net (recall that process trees are a strict sub-class of Petri nets).\n",
    "For example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "net1, im1, fm1 = pm4py.convert_to_petri_net(process_tree)\n",
    "pm4py.view_petri_net(net1,im1,fm1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "net2, im2, fm2 = pm4py.discover_petri_net_inductive(df)\n",
    "pm4py.view_petri_net(net2, im2, fm2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observe that both functions return three arguments, i.e., the Petri net, an initial and a final marking.\n",
    "Unsurprisingly, the two models are the same (i.e., the ```pm4py.discover_petri_net_inductive(df)``` function applies the conversion internally).\n",
    "However, there are alternative algorithms implemented in pm4py, that allow you obtain a Petri net based on an event log.\n",
    "These algorithms are:\n",
    "* [The alpha miner](https://en.wikipedia.org/wiki/Alpha_algorithm); One of the first process discovery algorithms\n",
    "* [The alpha+ miner](https://pure.tue.nl/ws/files/1864325/576199.pdf); Extension of the alpha miner that handles length-one-loops and short loops.\n",
    "\n",
    "Invocation of the aformentioned algorithms is straightforward:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "net3, im3, fm3 = pm4py.discover_petri_net_alpha(df)\n",
    "pm4py.view_petri_net(net3, im3, fm3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "net4, im4, fm4 = pm4py.discover_petri_net_alpha_plus(df)\n",
    "pm4py.view_petri_net(net4, im4, fm4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that, by definition, the alpha miner variants cannot discover invisible transitions (black boxes).\n",
    "Additionally, these algorithms have no form of formal quality guarantees w.r.t. the resulting process models.\n",
    "As such, **we strongly discourage the use of the alpha miners in practice, apart from educational purposes.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Obtaining a Process Map"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Many [commercial process mining solutions](https://www.gartner.com/reviews/market/process-mining) do not provide extended support for discovering process models.\n",
    "Often, as a main visualization of processes, *process maps* are used.\n",
    "A process map contains activities and connections (by means of arcs) between them.\n",
    "A connection between two activities usually means that there some form of precedence relation.\n",
    "In its simplest form, it means that the ‘source’ activity directly precedes the ‘target’ activity.\n",
    "Let’s quickly take a look at a concrete example!\n",
    "Consider the following code snippet, in which we learn a ‘Directly Follows Graph’ (DFG)-based process map."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dfg, start_activities, end_activities = pm4py.discover_dfg(df)\n",
    "pm4py.view_dfg(dfg, start_activities, end_activities)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The pm4py.discover_dfg(log) function returns a triple.\n",
    "The first result, i.e., called dfg in this example, is a dictionary mapping pairs of activities that follow each other directly, to the number of corresponding observations.\n",
    "The second and third arguments are the start and end activities observed in the event log (again counters).\n",
    "In the visualization, the green circle represents the start of any observed process instance.\n",
    "The orange circle represents the end of an observed process instance.\n",
    "In 6 cases, the register request is the first activity observed (represented by the arc labeled with value 6).\n",
    "In the event log, the check ticket activity is executed directly after the register request activity.\n",
    "The examine thoroughly activity is following registration once, examine casually follows 3 times.\n",
    "Note that, indeed, in total, the register activity is followed by 6 different events, i.e., there are 6 traces in the running example event log.\n",
    "However, note that there are typically much more relations observable compared to the number of cases in an event log.\n",
    "Even using this simple event data, the DFG-based process map of the process is much more complex than the process models learned earlier.\n",
    "Furthermore, it is much more difficult to infer the actual execution of the process based on the process map.\n",
    "Hence, when using process maps, one should be very carefully when trying to comprehend the actual process."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In PM4Py, we also implemented the [Heuristics Miner](https://ieeexplore.ieee.org/iel5/5937059/5949295/05949453.pdf), a more advanced process map discovery algorithm, compared to its DFG-based alternative.\n",
    "We won’t go into the algorithmic details here, however, in a HM-based process map, the arcs between activities represent observed concurrency.\n",
    "For example, the algorithm is able to detect that the ticket check and examination are concurrent.\n",
    "Hence, these activities will not be connected in the process map.\n",
    "As such, a HM-based process map is typically simpler compared to a DFG-based process map."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "map = pm4py.discover_heuristics_net(df)\n",
    "pm4py.view_heuristics_net(map)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Advanced Discovery: Handling Noise\n",
    "\n",
    "In the [previous tutorial](2_event_data_filtering.ipynb), we have already seen some generic ways of data filtering.\n",
    "However, most of the functionalities presented there are useful for preprocessing the event data.\n",
    "After preprocessing, it often happens that event data is still containing various 'problematic cases' that were hard to filter out.\n",
    "We won't go into too much detail here, however, various causes of outliers and noise in cleaned event data exist.\n",
    "Some algorithms have built-in filtering mechanisms, allowing you to filter the cleaned event data internally.\n",
    "\n",
    "Consider the following example, in which we use a 'broken' variant of the running example data (some events are missing), with and without filtering."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_broken = pd.read_csv('data/running_example_broken.csv', sep=';')\n",
    "df_broken = pm4py.format_dataframe(df_broken)",
    "bpmn_unfiltered = pm4py.discover_bpmn_inductive(df_broken)\n",
    "pm4py.view_bpmn(bpmn_unfiltered)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bpmn_filtered = pm4py.discover_bpmn_inductive(df_broken, 0.8)\n",
    "pm4py.view_bpmn(bpmn_filtered)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Observe that the first model, i.e., without any form of filtering, allows us to skip a large part of the model.\n",
    "Furthermore, the model describes various 'options to go back'.\n",
    "Hence, we can arbitrarily skip a lot of activities, yet, go back to previous states in the process at the same time.\n",
    "This implies that the model, in fact, describes that virtually anything can happen.\n",
    "\n",
    "The other model, on the other hand, applies rigorous filtering.\n",
    "As a result, the process model does no longer describe all possible behavior in the input event log (a guarantee by the Inductive Miner without filtering).\n",
    "However, it describes much less variation.\n",
    "Arguably, this is a better model for the given event data since it is much more *precise*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Final Thoughts\n",
    "The examples presented here show some great process discovery in action.\n",
    "However, this article would not be complete without a few critical notes from an academic that has spent a large part of his professional career in developing and applying process mining algorithms.\n",
    "First and foremost, make sure to play around with some real event data, which you can download [here](http://processmining.org/event-data.html).\n",
    "You will most likely notice that the models you discover (even with various filtering threshold values) are largely useless.\n",
    "They either are i) too complex or ii) too imprecise.\n",
    "There are various reasons for this, some of which, we'll briefly touch upon here:\n",
    "- *Data Granularity Mismatch*; The process models that we use to model (business) processes tend to be of a certain level of abstraction.\n",
    "For example, in the running example, we describe the registration of a request simply as 'register request'.\n",
    "However, it is very likely that the system modeling said registration, registers the effective registration request at a lower level.\n",
    "Various system calls and data-base overwrites may be logged in the event data.\n",
    "Often, these low level events do not follow a pre-defined sequential pattern, hence, large variability may easily exit.\n",
    "Larger variability implies a larger data complexity, i.e., if 10 activities are able to occur in parallel, this implies that there are 10!=10\\*9\\*8\\*...\\*1=3.628.800 ways to schedule these activities.\n",
    "However, natural bias and skew in the process execution exists, which often renders us to observe an incomplete subset.\n",
    "Hence, to obtain a more reasonable process model, the recorded event data may need to be *abstracted* first.\n",
    "For an elaborate overview, see [this article](http://sebastiaanvanzelst.com/wp-content/uploads/2020/04/Granular_Computing_in_Process_Mining.pdf).\n",
    "- *No Contextual Activity Differentiation*;\n",
    "The state-of-the-art discovery algorithms consider every activity of the same type, to be of the same type.\n",
    "That sounds vague, however, an example easily clarifies this problem.\n",
    "Consider modeling a process model of your daily routine.\n",
    "It is likely that you sometimes shower in the morning, and, sometimes in the evening.\n",
    "When modeling this as a process model, i.e., when you as a human modeler model this, it is likely that you actually create two shower activities in the model.\n",
    "One of these activities represents taking a shower in the morning, whereas the other represents taking a shower in the evening.\n",
    "Hence, when learning a process model of your daily routine, the discovery algorithm will place both your breakfast, and your diner close to the showering activity.\n",
    "In fact, it will likely allow you to skip breakfast and diner, and, allow you to 'go back' to the dinner.\n",
    "That is, the exact same problem occurs as the problem that we already observed when learning process models based on noisy data.\n",
    "There are some solutions for this problem, i.e., referred to as 'label splitting' (see [this article](https://pure.tue.nl/ws/files/58626874/BPM2016Lu.pdf)).\n",
    "In a nutshell, such an algorithm tries to detect if certain activities (such as 'showering') should be split up in say, an activity 'shower1' and 'shower2'.\n",
    "After such a split, the algorithm will learn activity instances for both 'shower1' and 'shower2', which we can both replace by the 'shower' activity in a post-processing step.\n",
    "- *Ignorance of Activity Duration*\n",
    "The majority of the existing process discovery algorithms assume activities to be of an atomic fashion (i.e., they have a single timestamp and no duration).\n",
    "In reality, however, most activities take some time (even automated system activities tend to take a few milliseconds).\n",
    "Whereas the XES standard provides means to differentiate between start and end activities, hardly any discovery algorithm uses this information (e.g., the Inductive Miner - Life Cycle Algorithm (IMLC) does use this information).\n",
    "As such, process models tend to become complex, since activity start and end are modeled in a separate manner.\n",
    "Note that, even in case activities are recorded as atomic events, after applying event abstraction (i.e., see the previous point on *Data Granularity*), activity start and end timestamps are present by definition.\n",
    "- *Ignorance of Domain Knowledge*\n",
    "Most process discovery algorithms only look at the sequential ordering of (atomic) events, i.e., the do not exploit any indicative auxillary data.\n",
    "Furthermore, they provide limited to no user interaction.\n",
    "It might be the case that a certain execution of a process is happening frequently, yet, should not be executed as it is recorded, i.e., one does not aim to model the specific execution within the model.\n",
    "Since the majority of the filtering algorithms that exist use trace-frequency as a primary driver (implicitly or explicitly) these type of problems will not be identified.\n",
    "For example, in a real life, publicly available log concerning the administration of road-traffic fines, one of the most ocurring process executions is represented by offenders that do not pay the fine.\n",
    "Clearly, one wants to exclude the possibility of not paying from any discovered representative model (although observing the fact that this happens is extremely valuable for the business).\n",
    "Novel developments in the field of process mining put more emphasis on such domain knowledge integration.\n",
    "\n",
    "These problems described here, are just a few problems (of the many) that hamper the direct application of process mining (for example, we did not even cover the n:m-relation problem of objects and events).\n",
    "This does not mean that process discovery is useless.\n",
    "Rather, it is important to take into account that a discovered process model is just the starting point of an event data analysis, i.e., not the end result.\n",
    "Truth be told, when analyzing real event data, visual analytic tools (e.g., the [Variant Explorer](https://fmannhardt.de/blog/static/3770b2fe8bbe79afd99c0368f22ab931/d56b5/explore-event-log.png) and the [Dotted Chart](https://a.fsdn.com/con/app/proj/prom/screenshots/LogProjection.png/max/max/1)) can reveal various useful patterns that provide insights into a process and allow further event data preprocessing.\n",
    "\n",
    "\n"
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